{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "乐学偶得版权所有 lexueoude.com 公众号：乐学Fintech"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "我们可以通过log of Odds将非直观的odds变成线形的直观模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": "<IPython.core.display.Image object>"
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='3.Odds_Intro.png')"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": "<IPython.core.display.Image object>"
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='3.Odds_and_P.png')\n",
    "\n"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [
    "\n"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}